Bantuin pleaseeeee kakaaaa :))) Diketahui g(x-2) = 2x + 7 dan (h o g) (x) = 4x2 + 44x + 1. Nilai h(10) adalah....
Matematika
Tomtom
Pertanyaan
Bantuin pleaseeeee kakaaaa :)))
Diketahui g(x-2) = 2x + 7 dan (h o g) (x) = 4x2 + 44x + 1. Nilai h(10) adalah....
Diketahui g(x-2) = 2x + 7 dan (h o g) (x) = 4x2 + 44x + 1. Nilai h(10) adalah....
1 Jawaban
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1. Jawaban yennykumalasari
g(x-2) = 2x +7
g(x) = 2(x+2) + 7
g(x)= 2x+4 +7
g(x)= 2x +11
misal g(x)=p
p=2x+11
2x=p-11
x=1/2p- 11/2
(hog) (x) = [tex] 4x^{2} + 44x +1 [/tex]
h(g(x)) = [tex]4 x^{2} +44x+1[/tex]
h(g(1/2p - 11/2) = [tex]4 (1/2p-11/2)^{2}+4(1/2p- 11/2)+1[/tex]
h(g(1/2p - 11/2) = [tex]4(1/4p^{2} -11/2p+121/4)+2p-22+1[/tex]
h(g(1/2p - 11/2) = [tex] p^{2} -22p+121+2p-21[/tex]
h(g(1/2p - 11/2) = [tex] p^{2}-20p+100 [/tex]
h(x) = [tex] x^{2} -20x+100[/tex]
h(10) =[tex]10^{2}-20(10)+100 [/tex]
h(10) = 100 - 200 + 100
h(10) = 0